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# The number of different four digit numbers that can be formed with the digit 2,3,4,7 and using each digit only once is

$\begin{array}{1 1}(A)\;120\\(B)\;96\\(C)\;24\\(D)\;100\end{array}$

The digits are 2,3,4,7
We have four options for the first digit
We have three options for the second digit
We have two options for the third digit
We have one options for the fourth digit
The total no of four digits number formed =$4\times 3\times 2\times 1$
$\Rightarrow 24$
Hence (C) is the correct answer.